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If 3. 2=1 then find the value of 5.

Question

If $tan 3 θ . tan 2 θ = 1$ then find the value of $sin 5 θ$ .

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Levi Discussed

tan 3 θ . tan 2 θ = 1

then find the value of

sin 5 θ

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

Given,

tan 3 θ . tan 2 θ = 1

or,

sin 3 θ . sin 2 θ = cos 3 θ . cos θ

or,

cos 3 θ . cos 2 θ - sin 3 θ . sin 2 θ = 0

or,

cos (3 θ + 2 θ) = 0

or,

cos 5 θ = 0

\Rightarrow sin 5 θ = 1

[ Since

sin^{2} 5 θ + cos^{2} 5 θ = 1

]

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Question Text	If $tan 3 θ . tan 2 θ = 1$ then find the value of $sin 5 θ$ .
Answer Type	Text solution:1
Upvotes	150